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We study the momentum-space entanglement between the sub- and super-Hubble modes of a spectator scalar field, with a cubic $\lambda \phi^3$ interaction, in de Sitter space. Momentum-space entanglement has some universal properties for any…

高能物理 - 理论 · 物理学 2023-02-28 Suddhasattwa Brahma , Jaime Calderón-Figueroa , Moatasem Hassan , Xuan Mi

We study the evolution of the two scalar fields entangled via a mutual interaction in an expanding spacetime. We compute the logarithmic negativity to leading order in perturbation theory and show that for lowest order in the coupling…

量子物理 · 物理学 2017-06-21 Helder Alexander , I. G. da Paz , Marcos Sampaio

Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties, such as nonlocality and UV/IR mixing. They suggest novel types of correlation among the…

高能物理 - 理论 · 物理学 2022-01-05 Shoichi Kawamoto , Tsunehide Kuroki

We investigate the cause of the divergence of the entanglement entropy for the free scalar fields in $(1+1)$ and $(D + 1)$ dimensional space-times. In a canonically equivalent set of variables, we show explicitly that the divergence in the…

高能物理 - 理论 · 物理学 2014-09-02 Krishnanand Mallayya , Rakesh Tibrewala , S. Shankaranarayanan , T. Padmanabhan

We investigate the leading area-law contribution to entanglement entropy in a system described by a general Lagrangian with O(2) symmetry containing first- and second-order time derivatives, namely breaking the Lorentz-invariance. We…

量子气体 · 物理学 2020-07-08 Ivan Morera , Irénée Frérot , Artur Polls , Bruno Juliá-Díaz

We show that the linearized higher derivative gravitational field equations are equivalent to an equilibrium condition on the entanglement entropy of small spherical regions in vacuum. This extends Jacobson's recent derivation of the…

高能物理 - 理论 · 物理学 2017-02-15 Pablo Bueno , Vincent S. Min , Antony J. Speranza , Manus R. Visser

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

高能物理 - 理论 · 物理学 2016-10-19 Dharm Veer Singh , Shobhit Sachan

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

高能物理 - 理论 · 物理学 2014-09-17 Xian Gao

We study different aspects of quantum entanglement and its measures, including entanglement entropy in the vacuum state of a certain Lifshitz scalar theory. We present simple intuitive arguments based on "non-local" effects of this theory…

高能物理 - 理论 · 物理学 2017-07-25 M. Reza Mohammadi Mozaffar , Ali Mollabashi

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

量子物理 · 物理学 2013-10-01 Katja Ried

We analytically study momentum-space entanglement in quantum spin-half ladders consisting of two coupled critical XXZ spin-half chains using field theoretical methods. When the system is gapped, the momentum-space entanglement Hamiltonian…

强关联电子 · 物理学 2016-03-09 Rex Lundgren

The entanglement between momentum modes of a quantum field theory at different scales is not as well studied as its counterpart in real space, despite the natural connection with the Wilsonian idea of integrating out the high-momentum…

高能物理 - 理论 · 物理学 2022-10-04 Matheus H. Martins Costa , Jeroen van den Brink , Flavio S. Nogueira , Gastão Krein

In quantum field theory, entanglement entropy under spatial bipartitioning serves as a powerful information-theoretic probe of quantum correlations. In this work, we present the first comprehensive numerical study of the dynamical evolution…

高能物理 - 理论 · 物理学 2026-01-22 S. Mahesh Chandran , Karthik Rajeev

We extend the entanglement entropy calculation performed in the seminal paper by Srednicki for free real massive scalar field theories in 1+1, 2+1 and 3+1 dimensions. We show that the inverse of the scalar field mass can be used as an…

高能物理 - 理论 · 物理学 2018-04-10 Dimitrios Katsinis , Georgios Pastras

We evaluate self-interaction effects on the quantum correlations of field modes of opposite momenta for scalar $\lambda \phi^4$ theory in a two-dimensional asymptotically flat Robertson-Walker spacetime. Such correlations are encoded both…

高能物理 - 理论 · 物理学 2016-08-24 Helder Alexander , Gustavo de Souza , Paul Mansfield , I. G. da Paz , Marcos Sampaio

We consider a pair of harmonic oscillators in two or three dimensions of space coupled by the standard electrodynamic forces : the Coulomb, the Lorentz and the electrokinetic forces. The addition of the Lorentz force is mainly felt in the…

综合物理 · 物理学 2007-05-23 C. P. Kouropoulos

A Lorentz non-invariant higher derivative effective action in flat spacetime, characterised by a constant vector, can be made invariant under infinitesimal Lorentz transformations by restricting the allowed field configurations. These…

高能物理 - 理论 · 物理学 2012-11-15 Oindrila Ganguly

The entanglement entropy of a free scalar field in its ground state is dominated by an area law term. It is noteworthy, however, that the study of entanglement in scalar field theory has not advanced far beyond the ground state. In this…

高能物理 - 理论 · 物理学 2023-11-16 Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here…

高能物理 - 理论 · 物理学 2012-12-11 Mark P. Hertzberg

We study the entanglement entropy resulting from tracing out local degrees of freedom of a quantum scalar field in an expanding universe. It is known that when field modes become superhorizon during inflation they evolve to increasingly…

高能物理 - 理论 · 物理学 2023-10-30 Konstantinos Boutivas , Georgios Pastras , Nikolaos Tetradis
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